双玻色子系统的时间周期性与动力学稳定性
Time periodicity and dynamical stability in two-boson systems
摘要：
我们计算了由两个相互作用玻色子组成的动力系统的递归周期。讨论了与此问题有关的一些理论问题，特别是小周期性的条件。以这种方式收集的知识，然后使用提出一个概念的动态稳定性的基础上的稳定性的时期。动态仿真结果表明，与所提出的方案有很好的一致性。我们还将结果应用于被称为相干布居捕获的现象，并找到在这种特定情况下的稳定条件。
英文摘要：
We calculate the period of recurrence of dynamical systems comprising two interacting bosons. A number of theoretical issues related to this problem are discussed, in particular, the conditions for small periodicity. The knowledge gathered in this way is then used to propose a notion of dynamical stability based on the stability of the period. Dynamical simulations show good agreement with the proposed scheme. We also apply the results to the phenomenon known as coherent population trapping and find stability conditions in this specific case.
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